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Displaying similar documents to “Construction of almost periodic sequences with given properties.”

Almost periodic sequences and functions with given values

Michal Veselý (2011)

Archivum Mathematicum

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We present a method for constructing almost periodic sequences and functions with values in a metric space. Applying this method, we find almost periodic sequences and functions with prescribed values. Especially, for any totally bounded countable set  X in a metric space, it is proved the existence of an almost periodic sequence { ψ k } k such that { ψ k ; k } = X and ψ k = ψ k + l q ( k ) , l for all  k and some q ( k ) which depends on  k .